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41994028291248 = 243211433491124699
BaseRepresentation
bin10011000110001011111110…
…01000111001010010110000
312111200120221000221121220100
421203011333020321102300
521001012232220304443
6225151442410512400
711562653111624145
oct1143057710712260
9174616830847810
1041994028291248
1112420627208770
124862883135700
131a5803488a357
14a52743c023cc
154cc5637ee3d3
hex26317f2394b0

41994028291248 has 240 divisors, whose sum is σ = 128767889577600. Its totient is φ = 12670114867200.

The previous prime is 41994028291231. The next prime is 41994028291261. The reversal of 41994028291248 is 84219282049914.

41994028291248 is a `hidden beast` number, since 4 + 19 + 94 + 0 + 2 + 8 + 291 + 248 = 666.

It is a super-2 number, since 2×419940282912482 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336700803 + ... + 336825501.

It is an arithmetic number, because the mean of its divisors is an integer number (536532873240).

Almost surely, 241994028291248 is an apocalyptic number.

41994028291248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41994028291248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64383944788800).

41994028291248 is an abundant number, since it is smaller than the sum of its proper divisors (86773861286352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41994028291248 is a wasteful number, since it uses less digits than its factorization.

41994028291248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125648 (or 125639 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 41994028291248 in words is "forty-one trillion, nine hundred ninety-four billion, twenty-eight million, two hundred ninety-one thousand, two hundred forty-eight".